Modification of the Young–Laplace equation and prediction of bubble interface in the presence of nanoparticles

Vafaei, Saeid; Wen, Dongsheng

doi:10.1016/j.cis.2015.07.006

Cited by 34 publications

(20 citation statements)

References 122 publications

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“…It is related to the resolution of the measurement system. In order to clarify the relationship between the apparent contact angle and gravity, neglecting completely the disjoining pressure, we used the mechanical method of deriving the Young-Laplace equation [56], with consideration of the presence of hydrostatic pressure, liquid-vapor, solid-vapor, and solid-liquid interfacial tensions. And for this large drop, we consider a small rectangular section (ABCD, Figure 6) of the liquid-vapor interface at the three-phase contact line, where CD is a segment of the apparent three-phase contact line.…”

Section: Relationship Between Apparent Contact Angle Andmentioning

confidence: 99%

The Possibility of Changing the Wettability of Material Surface by Adjusting Gravity

Liu

Bao

et al. 2020

Research

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The contact angle, as a vital measured parameter of wettability of material surface, has long been in dispute whether it is affected by gravity. Herein, we measured the advancing and receding contact angles on extremely low contact angle hysteresis surfaces under different gravities (1-8G) and found that both of them decrease with the increase of the gravity. The underlying mechanism is revealed to be the contact angle hysteresis and the deformation of the liquid-vapor interface away from the solid surface caused by gradient distribution of the hydrostatic pressure. The real contact angle is not affected by gravity and cannot measured by an optical method. The measured apparent contact angles are angles of inclination of the liquid-vapor interface away from the solid surface. Furthermore, a new equation is proposed based on the balance of forces acting on the three-phase contact region, which quantitatively reveals the relation of the apparent contact angle with the interfacial tensions and gravity. This finding can provide new horizons for solving the debate on whether gravity affects the contact angle and may be useful for the accurate measurement of the contact angle and the development of a new contact angle measurement system.

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Section: Relationship Between Apparent Contact Angle Andmentioning

confidence: 99%

The Possibility of Changing the Wettability of Material Surface by Adjusting Gravity

Liu

Bao

et al. 2020

Research

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“…The basic modeling idea is based on the so-called Young-Laplace equation, see [28]. We assumed to have quasi-static cases, while we had static pressure, and the surface tension forces were also effective elements, see [29].…”

Section: Near-field Modelmentioning

confidence: 99%

“…The Young-Laplace-equation is derived by the balance of the liquid-gas interface, see [29], where we have:…”

Section: Near-field Modelmentioning

confidence: 99%

A Near–Far-Field Model for Bubbles Influenced by External Electrical Fields

Geiser

Mertin

2019

Applied Sciences

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In this paper, we present a model that is based on near–far-field charged bubble formation and transportation in an underlying dielectric liquid. The bubbles are controlled by the dielectric liquid, which is influenced by an external electrical field. This allows us to control the shape and volume of the bubbles in the dielectric liquid, such as water. These simulations are important to close the gap between the formation of charged bubbles, which is a fine-scale model and their transport in the underlying liquid, which is a coarse-scale model. In the fine-scale model, the formation of the bubbles and their influence of the electric-stress is approached by a near-field model, which is done by the Young–Laplace equation plus additional force-terms. In the coarse-scale model, the transport of the bubbles is approached by a far-field model, which is done with a convection-diffusion equation. The models are coupled with a bubble in cell scheme, which interpolates between the fine and coarse scales of the different models. Such a scale-dependent approach allows us to apply optimal numerical solvers for the different fine and coarse time and space scales and help to foresee the fluctuations of the charged bubbles in the E-field. We discuss the modeling approaches, numerical solver methods and we present the numerical results for the near–far-field bubble formation and transport model in a dielectric carrier fluid.

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“…Snabre and Magnifotcham [ 13 ] considered the continuous emission of gas bubbles from a single ejection orifice immersed in water–glycerol systems and analyzed the effects of fluid viscosity, gas flow rate, orifice diameter, and liquid depth on the bubble stream dynamic to derive an expression for the net viscous force acting on the surrounding fluid. Vafaei and Wen [ 14 , 15 ] injected air into deionized water and nanofluids to observe the effect of nanoparticles on the three-phase contact line and bubble morphology, and used the Young–Laplace equation to predict the evolution of bubbles. It was found that within a few milliseconds before the bubble detaches, the Young–Laplace equation could no longer accurately describe the real-time boundary of the bubble.…”

Section: Introductionmentioning

confidence: 99%

An Experimental Study on Bubble Growth in Laponite RD as Thixotropic Yield Material

Zhang

Zhou

2020

Materials

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The growth and release of the leading major bubble at the tip of a needle in the thixotropic yield material Laponite RD was different from subsequent minor bubbles. The gas injection experiments combined with high-speed camera were conducted. The results showed that the shape of the major bubbles transformed from an inverted carrot shape to an inverted teardrop shape, while the shape of the minor bubbles tended to be elliptical. In addition, the pressure of bubble emergence consisted of hydrostatic pressure, capillary pressure, and cracking pressure. The major and minor bubbles differed only in the cracking pressure. The pressure when the minor bubble detached could be estimated from the lateral hydrostatic pressure. It can be deduced from dimensionless numbers that buoyancy and viscous forces were, respectively, the main driving force and resistance of bubble growth. The yield stress of Laponite RD and inertial force at the initial moment resulted in distinctive behavior of the major bubble. In addition to the viscosity resistance, surface tension, and hydrostatic pressure had a non-negligible influence on minor bubbles and still accounted for 10–20% of the total resistance in the later stage but less than 5% in major bubble growth.

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Modification of the Young–Laplace equation and prediction of bubble interface in the presence of nanoparticles

Cited by 34 publications

References 122 publications

The Possibility of Changing the Wettability of Material Surface by Adjusting Gravity

The Possibility of Changing the Wettability of Material Surface by Adjusting Gravity

A Near–Far-Field Model for Bubbles Influenced by External Electrical Fields

An Experimental Study on Bubble Growth in Laponite RD as Thixotropic Yield Material

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